25032960 has 216 divisors, whose sum is σ = 90397944. Its totient is φ = 6389760.

The previous prime is 25032949. The next prime is 25032961. The reversal of 25032960 is 6923052.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 24443136 = 768^2 + 4944^2 .

It is not an unprimeable number, because it can be changed into a prime (25032961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472294 + ... + 472346.

It is an arithmetic number, because the mean of its divisors is an integer number (418509).

Almost surely, 2^25032960 is an apocalyptic number.

25032960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25032960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198972).

25032960 is an abundant number, since it is smaller than the sum of its proper divisors (65364984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25032960 is a wasteful number, since it uses less digits than its factorization.

25032960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 25032960 is about 5003.2949143539. The cubic root of 25032960 is about 292.5302182236.

The spelling of 25032960 in words is "twenty-five million, thirty-two thousand, nine hundred sixty".